\[x^{2} + 7x - 8 \geq 0\]
\[x_{1} + x_{2} = - 7;\ \ x_{1} \cdot x_{2} = - 8\]
\[x_{1} = - 8;\ \ x_{2} = 1.\]
\[(x + 8)(x - 1) \geq 0\]
\[x \leq - 8;\ \ x \geq 1.\]
\[Ответ:x \leq - 8;\ \ x \geq 1.\]